A quadrature-based eigensolver with a Krylov subspace method for shifted linear systems for Hermitian eigenproblems in lattice QCD

Hiroshi Ohno; Yoshinobu Kuramashi; Tetsuya Sakurai; Hiroto Tadano

doi:10.14495/jsiaml.2.115

Articles

A quadrature-based eigensolver with a Krylov subspace method for shifted linear systems for Hermitian eigenproblems in lattice QCD

Hiroshi Ohno, Yoshinobu Kuramashi, Tetsuya Sakurai, Hiroto Tadano

Author information

Keywords: Hermitian matrix, eigenvalue problem, quadrature method, shifted linear systems, lattice QCD

JOURNAL FREE ACCESS

2010 Volume 2 Pages 115-118

DOI https://doi.org/10.14495/jsiaml.2.115

Details

Abstract

We consider a quadrature-based eigensolver to find eigenpairs of Hermitian matrices arising in lattice quantum chromodynamics. To reduce the computational cost for finding eigenpairs of such Hermitian matrices, we propose a new technique for solving shifted linear systems with complex shifts by means of the shifted CG method. Furthermore, by using integration paths along horizontal lines corresponding to the real axis of the complex plane, the number of iterations for the shifted CG method is also reduced. Some numerical experiments illustrate the accuracy and efficiency of the proposed method by comparison with a conventional method.

Corresponding author

Register with J-STAGE for free!